Answer:
670
Step-by-step explanation:
155 x 6 = 930, 1600 - 930 = 670
Third is y=-2x-2, second is y+4=-1(x-3), first is y+5=-1(x+4)
Answer:
point p,q,x and w
Step-by-step explanation:
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer:
(-12, -20).
Step-by-step explanation:
A dilation of factor 4 moves (-3, 5) to (-3*4, 5*4) = the point (-12, 20).
A reflection over the x-axis is (x, y) ------> ( x, -y).
So ( -12, 20) goes to (-12, -20).